Sequence & Series (AP, GP, HP)

Which of the following statement(s) is/are correct? Here $$a$$ and $$r$$ have their usual meaning: (A) $$a, ar, ar^2...

If $$ 2x $$, $$ x + 4 $$, and $$ x + 1 $$ are in Arithmetic Progression (A.P.), then the value of $$ x $$ is: ...

The average of 101 consecutive odd numbers is 303. Find the largest number....

How many terms are there in the A.P. 3, 7, 11, ..., 407? ...

Which term of the Arithmetic Progression (AP): 3, 7, 11, ..., 147 is its middle term?...

Which one of the following is not an A.P. (Arithmetic Progression)? ...